A numerical study of the fission hypothesis for rotating polytropes

Computer Science – Numerical Analysis

Scientific paper

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Dynamic Stability, Fission, Numerical Analysis, Polytropic Processes, Stellar Rotation, Angular Momentum, Computer Programs, Stellar Models

Scientific paper

A three-dimensional hydrodynamic computer code was used to study the nonlinear growth of nonaxisymmetric perturbations in rapidly rotating polytropes in an effort to understand the fate of dynamically unstable stars. It is shown that n = 3/2 and n = 1/2 polytropes are dynamically unstable to nonaxisymmetric perturbations if t is not less than about 0.30, in rough agreement with linear theory. Instead of fission as the direct end product of dynamic instability in rapidly rotating centrally condensed stars, it appears that a rapidly rotating star can, through gravitational torques, eject some high angular momentum material in its equatorial plane and settle down into a dynamically stable (lower t) configuration. The central object ends up as a stable triaxial star.

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